A foliated viewpoint on homotopy Brouwer theory
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866918237903519744 |
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| author | Schuback, Nelson |
| author_facet | Schuback, Nelson |
| contents | Brouwer homeomorphisms are fixed-point-free, orientation-preserving homeomorphisms of the plane. In recent years, their dynamics have been mostly studied through two complementary approaches, one introduced by Handel and the other by Le Calvez, each offering a distinct perspective on the behavior of Brouwer homeomorphisms. In this work, we present a unified framework that allows Le Calvez's foliated methods to recover, and in some cases improve, the classical results of Handel's theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07510 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A foliated viewpoint on homotopy Brouwer theory Schuback, Nelson Dynamical Systems Geometric Topology 37E30, 57K20 Brouwer homeomorphisms are fixed-point-free, orientation-preserving homeomorphisms of the plane. In recent years, their dynamics have been mostly studied through two complementary approaches, one introduced by Handel and the other by Le Calvez, each offering a distinct perspective on the behavior of Brouwer homeomorphisms. In this work, we present a unified framework that allows Le Calvez's foliated methods to recover, and in some cases improve, the classical results of Handel's theory. |
| title | A foliated viewpoint on homotopy Brouwer theory |
| topic | Dynamical Systems Geometric Topology 37E30, 57K20 |
| url | https://arxiv.org/abs/2512.07510 |